Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/899, 52/414, 635/854 quickly i.e. 33020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/899, 52/414, 635/854 is 33020.
LCM(26/899, 52/414, 635/854) = 33020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/899,52/414,635/854
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 26,52,635
Least Common Multiple of Numerators i.e. LCM of 26,52,635 is 33020.
GCF of Denominators means GCF of 899,414,854 as per the given fractions.
GCF of 899,414,854 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,52,635
2 | 26, 52, 635 |
13 | 13, 26, 635 |
1, 2, 635 |
∴ So the LCM of the given numbers is 2 x 13 x 1 x 2 x 635 = 33020
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 26,52,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,52,635) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(26,52,635) x common factors =1 x 26 = 26
LCM(26,52,635) = ( 26 × 52 × 635 ) / 26
LCM(26,52,635) = 858520 / 26
LCM(26,52,635) = 33020
Lets's calculate GCF of 899,414,854
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33020/1
Therefore the LCM of Fractions 26/899,52/414,635/854 is 33020
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 899,414,854 . The biggest common factor number is the GCF number.
So the greatest common factor 899,414,854 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 26/899, 52/414, 635/854?
Answer: LCM of Numerators as per given numbers 26/899, 52/414, 635/854 is
LCM of Numerators i.e. for 26,52,635 is 33020
GCF of denominators i.e. for 899,414,854 is 1.
Thus, LCM of Fractions is 33020.Finally, LCM of Fractions for 26/899, 52/414, 635/854 is 33020.